135450240 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 33067008.

The previous prime is 135450233. The next prime is 135450251. The reversal of 135450240 is 42054531.

135450240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135450240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714521 + ... + 1714599.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^135450240 is an apocalyptic number.

135450240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

135450240 is an abundant number, since it is smaller than the sum of its proper divisors (334565760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135450240 is a wasteful number, since it uses less digits than its factorization.

135450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135450240 is about 11638.3091555432. The cubic root of 135450240 is about 513.5624471529.

The spelling of 135450240 in words is "one hundred thirty-five million, four hundred fifty thousand, two hundred forty".